Title :
On a misconception involving point collocation and the Rayleigh hypothesis
Author :
Christiansen, SBren ; Kleinman, Ralph E.
Author_Institution :
Inst. of Math. Modeling, Tech. Univ., Lyngby, Denmark
fDate :
10/1/1996 12:00:00 AM
Abstract :
It is shown that the Rayleigh hypothesis does not govern convergence of the simple point collocation approach to the numerical solution of scattering by a sinusoidal grating. A previously developed numerical technique, interval arithmetic, is employed to perform some decisive numerical experiments which not only support but guarantee the validity of this conclusion
Keywords :
convergence of numerical methods; diffraction gratings; electromagnetic wave scattering; linear algebra; Rayleigh hypothesis; convergence; interval arithmetic; numerical solution; point collocation; scattering; sinusoidal grating; Arithmetic; Convergence of numerical methods; Electromagnetic scattering; Equations; Gratings; Mathematical model; Physics; Rayleigh scattering; Surface treatment; Surface waves;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
